class QVector4D

The QVector4D class represents a vector or vertex in 4D space. More

Added in version 4.6.

Synopsis

Methods

Static functions

Note

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Detailed Description

Vectors are one of the main building blocks of 4D affine representations of 3D space. They consist of four finite floating-point coordinates, traditionally called x, y, z and w.

The QVector4D class can also be used to represent vertices in 4D space. We therefore do not need to provide a separate vertex class.

__init__()

Constructs a null vector, i.e. with coordinates (0, 0, 0, 0).

__init__(point)
Parameters:

pointQPoint

Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.

__init__(point)
Parameters:

pointQPointF

Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.

__init__(vector)
Parameters:

vectorQVector2D

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zero.

See also

toVector2D()

__init__(vector)
Parameters:

vectorQVector3D

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to zero.

See also

toVector3D()

__init__(vector, wpos)
Parameters:

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to wpos, which must be finite.

See also

toVector3D()

__init__(vector, zpos, wpos)
Parameters:
  • vectorQVector2D

  • zpos – float

  • wpos – float

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zpos and wpos respectively, each of which must be finite.

See also

toVector2D()

__init__(xpos, ypos, zpos, wpos)
Parameters:
  • xpos – float

  • ypos – float

  • zpos – float

  • wpos – float

Constructs a vector with coordinates (xpos, ypos, zpos, wpos). All parameters must be finite.

__reduce__()
Return type:

str

__repr__()
Return type:

str

static dotProduct(v1, v2)
Parameters:
Return type:

float

Returns the dot product of v1 and v2.

isNull()
Return type:

bool

Returns true if the x, y, z, and w coordinates are set to 0.0, otherwise returns false.

length()
Return type:

float

Returns the length of the vector from the origin.

lengthSquared()
Return type:

float

Returns the squared length of the vector from the origin. This is equivalent to the dot product of the vector with itself.

normalize()

Normalizes the current vector in place. Nothing happens if this vector is a null vector or the length of the vector is very close to 1.

normalized()
Return type:

QVector4D

Returns the normalized unit vector form of this vector.

If this vector is null, then a null vector is returned. If the length of the vector is very close to 1, then the vector will be returned as-is. Otherwise the normalized form of the vector of length 1 will be returned.

__ne__(v2)
Parameters:

v2QVector4D

Return type:

bool

Returns true if v1 is not equal to v2; otherwise returns false. This operator uses an exact floating-point comparison.

__mul__(v2)
Parameters:

v2QVector4D

Return type:

QVector4D

Returns the QVector4D object formed by multiplying each component of v1 by the corresponding component of v2.

Note

This is not a cross product of v1 and v2 in any sense. (Its components add up to the dot product of v1 and v2.)

See also

operator*=()

__mul__(matrix)
Parameters:

matrixQMatrix4x4

Return type:

QVector4D

__mul__(matrix)
Parameters:

matrixQMatrix4x4

Return type:

QVector4D

__mul__(factor)
Parameters:

factor – float

Return type:

QVector4D

Returns a copy of the given vector, multiplied by the given factor.

See also

operator*=()

__mul__(factor)
Parameters:

factor – float

Return type:

QVector4D

Returns a copy of the given vector, multiplied by the given factor.

See also

operator*=()

__imul__(vector)
Parameters:

vectorQVector4D

Return type:

QVector4D

Multiplies each component of this vector by the corresponding component of vector and returns a reference to this vector.

See also

operator/=() operator*()

__imul__(factor)
Parameters:

factor – float

Return type:

QVector4D

Multiplies this vector’s coordinates by the given finite factor, and returns a reference to this vector.

See also

operator/=() operator*()

__add__(v2)
Parameters:

v2QVector4D

Return type:

QVector4D

Returns a QVector4D object that is the sum of the given vectors, v1 and v2; each component is added separately.

See also

operator+=()

__iadd__(vector)
Parameters:

vectorQVector4D

Return type:

QVector4D

Adds the given vector to this vector and returns a reference to this vector.

See also

operator-=()

__sub__()
Return type:

QVector4D

This is an overloaded function.

Returns a QVector4D object that is formed by changing the sign of all three components of the given vector.

Equivalent to QVector4D(0,0,0,0) - vector.

__sub__(v2)
Parameters:

v2QVector4D

Return type:

QVector4D

Returns a QVector4D object that is formed by subtracting v2 from v1; each component is subtracted separately.

See also

operator-=()

__isub__(vector)
Parameters:

vectorQVector4D

Return type:

QVector4D

Subtracts the given vector from this vector and returns a reference to this vector.

See also

operator+=()

__div__(divisor)
Parameters:

divisorQVector4D

Return type:

QVector4D

Returns the QVector4D object formed by dividing each component of the given vector by the corresponding component of the given divisor.

The divisor must have no component that is either zero or NaN.

See also

operator/=()

__div__(divisor)
Parameters:

divisor – float

Return type:

QVector4D

Returns the QVector4D object formed by dividing each component of the given vector by the given divisor.

The divisor must not be either zero or NaN.

See also

operator/=()

operator/=(vector)
Parameters:

vectorQVector4D

Return type:

QVector4D

Divides each component of this vector by the corresponding component of vector and returns a reference to this vector.

The vector must have no component that is either zero or NaN.

See also

operator*=() operator/()

operator/=(divisor)
Parameters:

divisor – float

Return type:

QVector4D

Divides this vector’s coordinates by the given divisor, and returns a reference to this vector. The divisor must not be either zero or NaN.

See also

operator*=()

__eq__(v2)
Parameters:

v2QVector4D

Return type:

bool

Returns true if v1 is equal to v2; otherwise returns false. This operator uses an exact floating-point comparison.

operator(i)
Parameters:

i – int

Return type:

float

Returns the component of the vector at index position i.

i must be a valid index position in the vector (i.e., 0 <= i < 4).

setW(w)
Parameters:

w – float

Sets the w coordinate of this point to the given finite w coordinate.

See also

w() setX() setY() setZ()

setX(x)
Parameters:

x – float

Sets the x coordinate of this point to the given finite x coordinate.

See also

x() setY() setZ() setW()

setY(y)
Parameters:

y – float

Sets the y coordinate of this point to the given finite y coordinate.

See also

y() setX() setZ() setW()

setZ(z)
Parameters:

z – float

Sets the z coordinate of this point to the given finite z coordinate.

See also

z() setX() setY() setW()

toPoint()
Return type:

QPoint

Returns the QPoint form of this 4D vector. The z and w coordinates are dropped. The x and y coordinates are rounded to nearest integers.

toPointF()
Return type:

QPointF

Returns the QPointF form of this 4D vector. The z and w coordinates are dropped.

toTuple()
Return type:

object

toVector2D()
Return type:

QVector2D

Returns the 2D vector form of this 4D vector, dropping the z and w coordinates.

toVector2DAffine()
Return type:

QVector2D

Returns the 2D vector form of this 4D vector, dividing the x and y coordinates by the w coordinate and dropping the z coordinate. Returns a null vector if w is zero.

toVector3D()
Return type:

QVector3D

Returns the 3D vector form of this 4D vector, dropping the w coordinate.

toVector3DAffine()
Return type:

QVector3D

Returns the 3D vector form of this 4D vector, dividing the x, y, and z coordinates by the w coordinate. Returns a null vector if w is zero.

w()
Return type:

float

Returns the w coordinate of this point.

See also

setW() x() y() z()

x()
Return type:

float

Returns the x coordinate of this point.

See also

setX() y() z() w()

y()
Return type:

float

Returns the y coordinate of this point.

See also

setY() x() z() w()

z()
Return type:

float

Returns the z coordinate of this point.

See also

setZ() x() y() w()